687606249792 has 448 divisors, whose sum is σ = 2415186432000. Its totient is φ = 170829711360.

The previous prime is 687606249779. The next prime is 687606249793. The reversal of 687606249792 is 297942606786.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687606249793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16640934 + ... + 16682202.

Almost surely, 2^687606249792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687606249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207593216000).

687606249792 is an abundant number, since it is smaller than the sum of its proper divisors (1727580182208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687606249792 is a wasteful number, since it uses less digits than its factorization.

687606249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41339 (or 41315 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 687606249792 in words is "six hundred eighty-seven billion, six hundred six million, two hundred forty-nine thousand, seven hundred ninety-two".